MathDB
Problems
Contests
National and Regional Contests
Germany Contests
Germany Team Selection Test
2005 Germany Team Selection Test
1
a Japanese Problem
a Japanese Problem
Source: Japanese math Olympiad
January 15, 2005
number theory solved
number theory
Problem Statement
Prove that there doesn't exist any positive integer
n
n
n
such that
2
n
2
+
1
,
3
n
2
+
1
2n^2+1,3n^2+1
2
n
2
+
1
,
3
n
2
+
1
and
6
n
2
+
1
6n^2+1
6
n
2
+
1
are perfect squares.
Back to Problems
View on AoPS